EconStor >
Max-Planck-Institut für Ökonomik, Jena >
Jena Economic Research Papers, MPI für Ökonomik >

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10419/25639
  
Title:The balanced solution for cooperative transferable utility games PDF Logo
Authors:van den Brink, René
Levínský, René
Zelen, Miroslav
Issue Date:2007
Series/Report no.:Jena economic research papers 2007,073
Abstract:The Shapley value of a cooperative transferable utility game distributes the dividend of each coalition in the game equally among its members. Given exogenous weights for all players, the corresponding weighted Shapley value distributes the dividends proportionally to their weights. In this contribution we de¯ne the balanced solution which assigns weights to players such that the corresponding weighted Shapley value of each player is equal to her weight. We prove its existence for all monotone transferable utility games, discuss other properties of this solution, and deal with its characterization through a reduced game consistency.
Subjects:Balanced solution
Proportionality
Reduced game consistency
Weight- ed Shapley value
JEL:C71
Document Type:Working Paper
Appears in Collections:Jena Economic Research Papers, MPI für Ökonomik

Files in This Item:
File Description SizeFormat
547194633.PDF682.64 kBAdobe PDF
No. of Downloads: Counter Stats
Download bibliographical data as: BibTeX
Share on:http://hdl.handle.net/10419/25639

Items in EconStor are protected by copyright, with all rights reserved, unless otherwise indicated.